Information on Result #732702
Linear OA(2583, 15736, F25, 22) (dual of [15736, 15653, 23]-code), using (u, u+v)-construction based on
- linear OA(2519, 108, F25, 11) (dual of [108, 89, 12]-code), using
- construction XX applied to C1 = C([9,18]), C2 = C([8,17]), C3 = C1 + C2 = C([9,17]), and C∩ = C1 ∩ C2 = C([8,18]) [i] based on
- linear OA(2517, 104, F25, 10) (dual of [104, 87, 11]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {9,10,…,18}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2517, 104, F25, 10) (dual of [104, 87, 11]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {8,9,…,17}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2519, 104, F25, 11) (dual of [104, 85, 12]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {8,9,…,18}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2515, 104, F25, 9) (dual of [104, 89, 10]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {9,10,…,17}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([9,18]), C2 = C([8,17]), C3 = C1 + C2 = C([9,17]), and C∩ = C1 ∩ C2 = C([8,18]) [i] based on
- linear OA(2564, 15628, F25, 22) (dual of [15628, 15564, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s (see above)
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2583, 7868, F25, 2, 22) (dual of [(7868, 2), 15653, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2583, 1430, F25, 22, 22) (dual of [(1430, 22), 31377, 23]-NRT-code) | [i] | OA Folding and Stacking | |